Home / 1,992-2,749.12-1,164.16

Finding the Fourth Proportional to 1,992, 2,749.12 and 1,164.16

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Solution

The fourth proportional to 1,992, 2,749.12 and 1,164.16 is: 1,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992 : 2,749.12 = 1,164.16 : x
  2. Step 2: Convert to fraction form
    1,992/2,749.12 = 1,164.16/x
  3. Step 3: Cross multiply
    1,992x = 2,749.12 × 1,164.16
  4. Step 4: Simplify right side
    1,992x = 3,200,415.54
  5. Step 5: Solve for x
    x = 3,200,415.54/1,992
  6. Step 6: Final answer
    x = 1,606.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.